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Autor

Área de conocimiento

Matemática Aplicada

Patrocinadores

The first author was supported by MERST(Ministery of Higher Education,Scientifc Research and Technology,Tunisia)under the Spanish-Tunisian project,grant A/8322/07.The second one was partially supported by MEC(Ministerio de Educación y Ciencia,Spain)and FEDER(Fondo Europeo de Desarrollo Regional),grant MTM2005- 03868,and Fundación Séneca(Comunidad Autónoma de la Región de Murcia,Spain),grant 00684/PI/04.

Fecha de publicación

2009-12-14

Palabras clave

Flujos de trabajo analíticoÁrea de conservación de flujoÓrbitasDensidad de órbitaω-límite establecidoAnalytic flowArea-preserving flowOrbitDense orbitω-limit set

Resumen

The aim of this paper is to give sufficient conditions on area-preserving flows that
guarantee the existence of dense orbits. We also answer a question by M.D. Hirsch
[M.D. Hirsch, Dense recurrence in area-preserving flows on surfaces, Nonlinearity 12 (1999)
1545–1553]. The results of this work are a generalization of the ones in [M.D. Hirsch, Dense
recurrence in area-preserving flows on surfaces, Nonlinearity 12 (1999) 1545–1553] and
[H. Marzougui, Area preserving flows with a dense orbit, Nonlinearity 15 (2002) 1379–
1384].